A1 Refereed original research article in a scientific journal
Capacities in Generalized Orlicz Spaces
Authors: Debangana Baruah, Petteri Harjulehto, Peter Hästö
Publisher: HINDAWI LTD
Publication year: 2018
Journal: Journal of Function Spaces
Journal name in source: JOURNAL OF FUNCTION SPACES
Journal acronym: J FUNCT SPACE
Article number: ARTN 8459874
Number of pages: 10
ISSN: 2314-8896
eISSN: 2314-8888
DOI: https://doi.org/10.1155/2018/8459874(external)
Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/36726550(external)
Abstract
In this paper basic properties of both Sobolev and relative capacities are studied in generalized Orlicz spaces. The capacities are compared with each other and the Hausdorff measure. As an application, the existence of quasicontinuous representative of generalized Orlicz functions is proved.
In this paper basic properties of both Sobolev and relative capacities are studied in generalized Orlicz spaces. The capacities are compared with each other and the Hausdorff measure. As an application, the existence of quasicontinuous representative of generalized Orlicz functions is proved.
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